This brief considers quantized control for finite-Time synthesis of nonlinear semi-Markov switching systems (S-MSSs) via T-S fuzzy strategy. The stochastic phenomena of structural and parametric changes are modeled by the semi-Markov process, in which the sojourn-Time (ST) is deemed to obey a non-exponential distribution. Compared with previous works, the input quantization is firstly investigated for studying the finite-Time control via a logarithmic quantizer. A key issue under the consideration is how to design a fuzzy-model-based finite-Time control law in the presence of quantized error. For this purpose, by using the key point of Lyapunov function, the finite-Time boundedness (FTBs) performance is analyzed via establishing sojourn-Time-dependent sufficient conditions within a given finite-Time level. Then, the existence of a quantized controller is given in standard LMIs. Finally, an example for an electric circuit shows the effectiveness of the finite-Time control scheme.
|Number of pages||5|
|Journal||IEEE Transactions on Circuits and Systems II: Express Briefs|
|Publication status||Published - 2020 Nov|
Bibliographical noteFunding Information:
Manuscript received November 8, 2019; accepted December 21, 2019. Date of publication December 25, 2019; date of current version November 4, 2020. This work was supported by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. This brief was recommended by Associate Editor D. Giaouris. (Corresponding author: Wenhai Qi.) Wenhai Qi, Meng Gao, and Lihua Zhang are with the School of Engineering, Qufu Normal University, Rizhao 276826, China (e-mail: firstname.lastname@example.org; email@example.com; firstname.lastname@example.org).
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- Finite-Time boundedness
- Lyapunov function
ASJC Scopus subject areas
- Electrical and Electronic Engineering